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Finding the Fourth Proportional to 457,804.53, 686,009.67 and 232,827.84

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Solution

The fourth proportional to 457,804.53, 686,009.67 and 232,827.84 is: 348,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,804.53 : 686,009.67 = 232,827.84 : x
  2. Step 2: Convert to fraction form
    457,804.53/686,009.67 = 232,827.84/x
  3. Step 3: Cross multiply
    457,804.53x = 686,009.67 × 232,827.84
  4. Step 4: Simplify right side
    457,804.53x = 159,722,149,685.21
  5. Step 5: Solve for x
    x = 159,722,149,685.21/457,804.53
  6. Step 6: Final answer
    x = 348,887.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.